2-D quadratic maps and 3-D ODE systems :: a rigorous approach /
This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hňon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in th...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, N.J. :
World Scientific,
©2010.
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| Schriftenreihe: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 73. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hňon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hňon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincare mapping in addition to other analytical methods. |
| Beschreibung: | 1 online resource (xiii, 342 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814307758 9814307750 128314459X 9781283144599 |
| ISSN: | 1793-1010 ; |
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| 100 | 1 | |a Zeraoulia, Elhadj. | |
| 245 | 1 | 0 | |a 2-D quadratic maps and 3-D ODE systems : |b a rigorous approach / |c Elhadj Zeraoulia, Julien Clinton Sprott. |
| 260 | |a Singapore ; |a Hackensack, N.J. : |b World Scientific, |c ©2010. | ||
| 300 | |a 1 online resource (xiii, 342 pages) : |b illustrations | ||
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| 490 | 1 | |a World scientific series on nonlinear science. Series A. Monographs and treatises, |x 1793-1010 ; |v v. 73 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Tools for the rigorous proof of chaos and bifurcations. 1.1. Introduction. 1.2. A chain of rigorous proof of chaos. 1.3. Poincare map technique. 1.4. The method of fixed point index. 1.5. Smale's horseshoe map. 1.6. The Sil'nikov criterion for the existence of chaos. 1.7. The Marotto theorem. 1.8. The verified optimization technique. 1.9. Shadowing lemma. 1.10. Method based on the second-derivative test and bounds for Lyapunov exponents. 1.11. The Wiener and Hammerstein cascade models. 1.12. Methods based on time series analysis. 1.13. A new chaos detector. 1.14. Exercises -- 2. 2-D quadratic maps : The invertible case. 2.1. Introduction. 2.2. Equivalences in the general 2-D quadratic maps. 2.3. Invertibility of the map. 2.4. The Henon map. 2.5. Methods for locating chaotic regions in the Henon map. 2.6. Bifurcation analysis. 2.7. Exercises -- 3. Classification of chaotic orbits of the general 2-D quadratic map. 3.1. Analytical prediction of system orbits. 3.2. A zone of possible chaotic orbits. 3.3. Boundary between different attractors. 3.4. Finding chaotic and nonchaotic attractors. 3.5. Finding hyperchaotic attractors. 3.6. Some criteria for finding chaotic orbits. 3.7. 2-D quadratic maps with one nonlinearity. 3.8. 2-D quadratic maps with two nonlinearities. 3.9. 2-D quadratic maps with three nonlinearities. 3.10. 2-D quadratic maps with four nonlinearities. 3.11. 2-D quadratic maps with five nonlinearities. 3.12. 2-D quadratic maps with six nonlinearities. 3.13. Numerical analysis -- 4. Rigorous proof of chaos in the double-scroll system. 4.1. Introduction. 4.2. Piecewise linear geometry and its real Jordan form. 4.3. The dynamics of an orbit in the double-scroll. 4.4. Poincare map [symbol]. 4.5. Method 1 : Sil'nikov criteria. 4.6. Subfamilies of the double-scroll family. 4.7. The geometric model. 4.8. Method 2 : The computer-assisted proof. 4.9. Exercises -- 5. Rigorous analysis of bifurcation phenomena. 5.1. Introduction. 5.2. Asymptotic stability of equilibria. 5.3. Types of chaotic attractors in the double-scroll. 5.4. Method 1 : Rigorous mathematical analysis. 5.5. Method 2 : One-dimensional Poincare map. 5.6. Exercises. | |
| 520 | |a This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hňon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hňon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincare mapping in addition to other analytical methods. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Forms, Quadratic. |0 http://id.loc.gov/authorities/subjects/sh85050828 | |
| 650 | 0 | |a Differential equations, Linear. |0 http://id.loc.gov/authorities/subjects/sh85037903 | |
| 650 | 0 | |a Bifurcation theory. |0 http://id.loc.gov/authorities/subjects/sh85013940 | |
| 650 | 0 | |a Differentiable dynamical systems. |0 http://id.loc.gov/authorities/subjects/sh85037882 | |
| 650 | 0 | |a Proof theory. |0 http://id.loc.gov/authorities/subjects/sh85107437 | |
| 650 | 6 | |a Formes quadratiques. | |
| 650 | 6 | |a Équations différentielles linéaires. | |
| 650 | 6 | |a Théorie de la bifurcation. | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 6 | |a Théorie de la preuve. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Ordinary. |2 bisacsh | |
| 650 | 7 | |a Bifurcation theory |2 fast | |
| 650 | 7 | |a Differentiable dynamical systems |2 fast | |
| 650 | 7 | |a Differential equations, Linear |2 fast | |
| 650 | 7 | |a Forms, Quadratic |2 fast | |
| 650 | 7 | |a Proof theory |2 fast | |
| 700 | 1 | |a Sprott, Julien C. | |
| 776 | 0 | 8 | |i Print version: |a Zeraoulia, Elhadj. |t 2-D quadratic maps and 3-D ODE systems. |d Singapore ; Hackensack, N.J. : World Scientific, ©2010 |z 9789814307741 |w (OCoLC)613429472 |
| 830 | 0 | |a World Scientific series on nonlinear science. |n Series A, |p Monographs and treatises ; |v v. 73. |0 http://id.loc.gov/authorities/names/no94008495 | |
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| contents | 1. Tools for the rigorous proof of chaos and bifurcations. 1.1. Introduction. 1.2. A chain of rigorous proof of chaos. 1.3. Poincare map technique. 1.4. The method of fixed point index. 1.5. Smale's horseshoe map. 1.6. The Sil'nikov criterion for the existence of chaos. 1.7. The Marotto theorem. 1.8. The verified optimization technique. 1.9. Shadowing lemma. 1.10. Method based on the second-derivative test and bounds for Lyapunov exponents. 1.11. The Wiener and Hammerstein cascade models. 1.12. Methods based on time series analysis. 1.13. A new chaos detector. 1.14. Exercises -- 2. 2-D quadratic maps : The invertible case. 2.1. Introduction. 2.2. Equivalences in the general 2-D quadratic maps. 2.3. Invertibility of the map. 2.4. The Henon map. 2.5. Methods for locating chaotic regions in the Henon map. 2.6. Bifurcation analysis. 2.7. Exercises -- 3. Classification of chaotic orbits of the general 2-D quadratic map. 3.1. Analytical prediction of system orbits. 3.2. A zone of possible chaotic orbits. 3.3. Boundary between different attractors. 3.4. Finding chaotic and nonchaotic attractors. 3.5. Finding hyperchaotic attractors. 3.6. Some criteria for finding chaotic orbits. 3.7. 2-D quadratic maps with one nonlinearity. 3.8. 2-D quadratic maps with two nonlinearities. 3.9. 2-D quadratic maps with three nonlinearities. 3.10. 2-D quadratic maps with four nonlinearities. 3.11. 2-D quadratic maps with five nonlinearities. 3.12. 2-D quadratic maps with six nonlinearities. 3.13. Numerical analysis -- 4. Rigorous proof of chaos in the double-scroll system. 4.1. Introduction. 4.2. Piecewise linear geometry and its real Jordan form. 4.3. The dynamics of an orbit in the double-scroll. 4.4. Poincare map [symbol]. 4.5. Method 1 : Sil'nikov criteria. 4.6. Subfamilies of the double-scroll family. 4.7. The geometric model. 4.8. Method 2 : The computer-assisted proof. 4.9. Exercises -- 5. Rigorous analysis of bifurcation phenomena. 5.1. Introduction. 5.2. Asymptotic stability of equilibria. 5.3. Types of chaotic attractors in the double-scroll. 5.4. Method 1 : Rigorous mathematical analysis. 5.5. Method 2 : One-dimensional Poincare map. 5.6. Exercises. |
| ctrlnum | (OCoLC)740446113 |
| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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Series A. Monographs and treatises,</subfield><subfield code="x">1793-1010 ;</subfield><subfield code="v">v. 73</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1. Tools for the rigorous proof of chaos and bifurcations. 1.1. Introduction. 1.2. A chain of rigorous proof of chaos. 1.3. Poincare map technique. 1.4. The method of fixed point index. 1.5. Smale's horseshoe map. 1.6. The Sil'nikov criterion for the existence of chaos. 1.7. The Marotto theorem. 1.8. The verified optimization technique. 1.9. Shadowing lemma. 1.10. Method based on the second-derivative test and bounds for Lyapunov exponents. 1.11. The Wiener and Hammerstein cascade models. 1.12. Methods based on time series analysis. 1.13. A new chaos detector. 1.14. Exercises -- 2. 2-D quadratic maps : The invertible case. 2.1. Introduction. 2.2. 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The dynamics of an orbit in the double-scroll. 4.4. Poincare map [symbol]. 4.5. Method 1 : Sil'nikov criteria. 4.6. Subfamilies of the double-scroll family. 4.7. The geometric model. 4.8. Method 2 : The computer-assisted proof. 4.9. Exercises -- 5. Rigorous analysis of bifurcation phenomena. 5.1. Introduction. 5.2. Asymptotic stability of equilibria. 5.3. Types of chaotic attractors in the double-scroll. 5.4. Method 1 : Rigorous mathematical analysis. 5.5. Method 2 : One-dimensional Poincare map. 5.6. Exercises.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hňon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hňon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computer-assisted proof. 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| id | ZDB-4-EBA-ocn740446113 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:54Z |
| institution | BVB |
| isbn | 9789814307758 9814307750 128314459X 9781283144599 |
| issn | 1793-1010 ; |
| language | English |
| oclc_num | 740446113 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 342 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific, |
| record_format | marc |
| series | World Scientific series on nonlinear science. Monographs and treatises ; |
| series2 | World scientific series on nonlinear science. Series A. Monographs and treatises, |
| spelling | Zeraoulia, Elhadj. 2-D quadratic maps and 3-D ODE systems : a rigorous approach / Elhadj Zeraoulia, Julien Clinton Sprott. Singapore ; Hackensack, N.J. : World Scientific, ©2010. 1 online resource (xiii, 342 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file World scientific series on nonlinear science. Series A. Monographs and treatises, 1793-1010 ; v. 73 Includes bibliographical references and index. 1. Tools for the rigorous proof of chaos and bifurcations. 1.1. Introduction. 1.2. A chain of rigorous proof of chaos. 1.3. Poincare map technique. 1.4. The method of fixed point index. 1.5. Smale's horseshoe map. 1.6. The Sil'nikov criterion for the existence of chaos. 1.7. The Marotto theorem. 1.8. The verified optimization technique. 1.9. Shadowing lemma. 1.10. Method based on the second-derivative test and bounds for Lyapunov exponents. 1.11. The Wiener and Hammerstein cascade models. 1.12. Methods based on time series analysis. 1.13. A new chaos detector. 1.14. Exercises -- 2. 2-D quadratic maps : The invertible case. 2.1. Introduction. 2.2. Equivalences in the general 2-D quadratic maps. 2.3. Invertibility of the map. 2.4. The Henon map. 2.5. Methods for locating chaotic regions in the Henon map. 2.6. Bifurcation analysis. 2.7. Exercises -- 3. Classification of chaotic orbits of the general 2-D quadratic map. 3.1. Analytical prediction of system orbits. 3.2. A zone of possible chaotic orbits. 3.3. Boundary between different attractors. 3.4. Finding chaotic and nonchaotic attractors. 3.5. Finding hyperchaotic attractors. 3.6. Some criteria for finding chaotic orbits. 3.7. 2-D quadratic maps with one nonlinearity. 3.8. 2-D quadratic maps with two nonlinearities. 3.9. 2-D quadratic maps with three nonlinearities. 3.10. 2-D quadratic maps with four nonlinearities. 3.11. 2-D quadratic maps with five nonlinearities. 3.12. 2-D quadratic maps with six nonlinearities. 3.13. Numerical analysis -- 4. Rigorous proof of chaos in the double-scroll system. 4.1. Introduction. 4.2. Piecewise linear geometry and its real Jordan form. 4.3. The dynamics of an orbit in the double-scroll. 4.4. Poincare map [symbol]. 4.5. Method 1 : Sil'nikov criteria. 4.6. Subfamilies of the double-scroll family. 4.7. The geometric model. 4.8. Method 2 : The computer-assisted proof. 4.9. Exercises -- 5. Rigorous analysis of bifurcation phenomena. 5.1. Introduction. 5.2. Asymptotic stability of equilibria. 5.3. Types of chaotic attractors in the double-scroll. 5.4. Method 1 : Rigorous mathematical analysis. 5.5. Method 2 : One-dimensional Poincare map. 5.6. Exercises. This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hňon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hňon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincare mapping in addition to other analytical methods. Print version record. Forms, Quadratic. http://id.loc.gov/authorities/subjects/sh85050828 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Bifurcation theory. http://id.loc.gov/authorities/subjects/sh85013940 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Formes quadratiques. Équations différentielles linéaires. Théorie de la bifurcation. Dynamique différentiable. Théorie de la preuve. MATHEMATICS Differential Equations Ordinary. bisacsh Bifurcation theory fast Differentiable dynamical systems fast Differential equations, Linear fast Forms, Quadratic fast Proof theory fast Sprott, Julien C. Print version: Zeraoulia, Elhadj. 2-D quadratic maps and 3-D ODE systems. Singapore ; Hackensack, N.J. : World Scientific, ©2010 9789814307741 (OCoLC)613429472 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 73. http://id.loc.gov/authorities/names/no94008495 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=374914 Volltext |
| spellingShingle | Zeraoulia, Elhadj 2-D quadratic maps and 3-D ODE systems : a rigorous approach / World Scientific series on nonlinear science. Monographs and treatises ; 1. Tools for the rigorous proof of chaos and bifurcations. 1.1. Introduction. 1.2. A chain of rigorous proof of chaos. 1.3. Poincare map technique. 1.4. The method of fixed point index. 1.5. Smale's horseshoe map. 1.6. The Sil'nikov criterion for the existence of chaos. 1.7. The Marotto theorem. 1.8. The verified optimization technique. 1.9. Shadowing lemma. 1.10. Method based on the second-derivative test and bounds for Lyapunov exponents. 1.11. The Wiener and Hammerstein cascade models. 1.12. Methods based on time series analysis. 1.13. A new chaos detector. 1.14. Exercises -- 2. 2-D quadratic maps : The invertible case. 2.1. Introduction. 2.2. Equivalences in the general 2-D quadratic maps. 2.3. Invertibility of the map. 2.4. The Henon map. 2.5. Methods for locating chaotic regions in the Henon map. 2.6. Bifurcation analysis. 2.7. Exercises -- 3. Classification of chaotic orbits of the general 2-D quadratic map. 3.1. Analytical prediction of system orbits. 3.2. A zone of possible chaotic orbits. 3.3. Boundary between different attractors. 3.4. Finding chaotic and nonchaotic attractors. 3.5. Finding hyperchaotic attractors. 3.6. Some criteria for finding chaotic orbits. 3.7. 2-D quadratic maps with one nonlinearity. 3.8. 2-D quadratic maps with two nonlinearities. 3.9. 2-D quadratic maps with three nonlinearities. 3.10. 2-D quadratic maps with four nonlinearities. 3.11. 2-D quadratic maps with five nonlinearities. 3.12. 2-D quadratic maps with six nonlinearities. 3.13. Numerical analysis -- 4. Rigorous proof of chaos in the double-scroll system. 4.1. Introduction. 4.2. Piecewise linear geometry and its real Jordan form. 4.3. The dynamics of an orbit in the double-scroll. 4.4. Poincare map [symbol]. 4.5. Method 1 : Sil'nikov criteria. 4.6. Subfamilies of the double-scroll family. 4.7. The geometric model. 4.8. Method 2 : The computer-assisted proof. 4.9. Exercises -- 5. Rigorous analysis of bifurcation phenomena. 5.1. Introduction. 5.2. Asymptotic stability of equilibria. 5.3. Types of chaotic attractors in the double-scroll. 5.4. Method 1 : Rigorous mathematical analysis. 5.5. Method 2 : One-dimensional Poincare map. 5.6. Exercises. Forms, Quadratic. http://id.loc.gov/authorities/subjects/sh85050828 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Bifurcation theory. http://id.loc.gov/authorities/subjects/sh85013940 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Formes quadratiques. Équations différentielles linéaires. Théorie de la bifurcation. Dynamique différentiable. Théorie de la preuve. MATHEMATICS Differential Equations Ordinary. bisacsh Bifurcation theory fast Differentiable dynamical systems fast Differential equations, Linear fast Forms, Quadratic fast Proof theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85050828 http://id.loc.gov/authorities/subjects/sh85037903 http://id.loc.gov/authorities/subjects/sh85013940 http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh85107437 |
| title | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / |
| title_auth | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / |
| title_exact_search | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / |
| title_full | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / Elhadj Zeraoulia, Julien Clinton Sprott. |
| title_fullStr | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / Elhadj Zeraoulia, Julien Clinton Sprott. |
| title_full_unstemmed | 2-D quadratic maps and 3-D ODE systems : a rigorous approach / Elhadj Zeraoulia, Julien Clinton Sprott. |
| title_short | 2-D quadratic maps and 3-D ODE systems : |
| title_sort | 2 d quadratic maps and 3 d ode systems a rigorous approach |
| title_sub | a rigorous approach / |
| topic | Forms, Quadratic. http://id.loc.gov/authorities/subjects/sh85050828 Differential equations, Linear. http://id.loc.gov/authorities/subjects/sh85037903 Bifurcation theory. http://id.loc.gov/authorities/subjects/sh85013940 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Proof theory. http://id.loc.gov/authorities/subjects/sh85107437 Formes quadratiques. Équations différentielles linéaires. Théorie de la bifurcation. Dynamique différentiable. Théorie de la preuve. MATHEMATICS Differential Equations Ordinary. bisacsh Bifurcation theory fast Differentiable dynamical systems fast Differential equations, Linear fast Forms, Quadratic fast Proof theory fast |
| topic_facet | Forms, Quadratic. Differential equations, Linear. Bifurcation theory. Differentiable dynamical systems. Proof theory. Formes quadratiques. Équations différentielles linéaires. Théorie de la bifurcation. Dynamique différentiable. Théorie de la preuve. MATHEMATICS Differential Equations Ordinary. Bifurcation theory Differentiable dynamical systems Differential equations, Linear Forms, Quadratic Proof theory |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=374914 |
| work_keys_str_mv | AT zeraouliaelhadj 2dquadraticmapsand3dodesystemsarigorousapproach AT sprottjulienc 2dquadraticmapsand3dodesystemsarigorousapproach |