Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis :: Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations.
Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is a new top...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore :
World Scientific Publishing Company,
2013.
|
| Schriftenreihe: | Interdisciplinary mathematical sciences.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations w. |
| Beschreibung: | 1 online resource (414 pages). |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814436465 9814436461 1299462650 9781299462656 |
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| 520 | |a Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations w. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Gronwall inequalities / Fanhai Zeng, Jianxiong Cao and Changpin Li -- 2. Existence and uniqueness of the solutions to the fractional differential equations / Yutian Ma, Fengrong Zhang and Changpin Li -- 3. Finite element methods for fractional differential equations / Changpin Li and Fanhai Zeng -- 4. Fractional step method for the nonlinear conservation laws with fractional dissipation / Can Li and Weihua Deng -- 5. Error analysis of spectral method for the space and time fractional Fokker-Planck equation / Tinggang Zhao and Haiyan Xuan -- 6. A discontinuous finite element method for a type of fractional Cauchy problem / Yunying Zheng -- 7. Asymptotic analysis of a singularly perturbed parabolic problem in a general smooth domain / Yu-Jiang Wu, Na Zhang and Lun-Ji Song -- 8. Incremental unknowns methods for the ADI and ADSI schemes / Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang -- 9. Stability of a colocated FV scheme for the 3D Navier-Stokes equations / Xu Li and Shu-qin Wang -- 10. Computing the multiple positive solutions to p-Henon equation on the unit square / Zhaoxiang Li and Zhonghua Yang -- 11. Multilevel WBIUs methods for reaction-diffusion equations / Yang Wang, Yu-Jiang Wu and Ai-Li Yang -- 12. Models and dynamics of deterministically growing networks / Weigang Sun, Jingyuan Zhang and Guanrong Chen -- 13. On different approaches to synchronization of spatiotemporal chaos in complex networks / Yuan Chai and Li-Qun Chen -- 14. Chaotic dynamical systems on fractals and their applications to image encryption / Ruisong Ye, Yuru Zou and Jian Lu -- 15. Planar crystallographic symmetric tiling patterns generated from invariant maps / Ruisong Ye, Haiying Zhao and Yuanlin Ma -- 16. Complex dynamics in a simple two-dimensional discrete system / Huiqing Huang and Ruisong Ye -- 17. Approximate periodic solutions of damped harmonic oscillators with delayed feedback / Qian Guo -- 18. The numerical methods in option pricing problem / Xiong Bo -- 19. Synchronization and its control between two coupled networks / Yongqing Wu and Minghai Lü. | |
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| contents | 1. Gronwall inequalities / Fanhai Zeng, Jianxiong Cao and Changpin Li -- 2. Existence and uniqueness of the solutions to the fractional differential equations / Yutian Ma, Fengrong Zhang and Changpin Li -- 3. Finite element methods for fractional differential equations / Changpin Li and Fanhai Zeng -- 4. Fractional step method for the nonlinear conservation laws with fractional dissipation / Can Li and Weihua Deng -- 5. Error analysis of spectral method for the space and time fractional Fokker-Planck equation / Tinggang Zhao and Haiyan Xuan -- 6. A discontinuous finite element method for a type of fractional Cauchy problem / Yunying Zheng -- 7. Asymptotic analysis of a singularly perturbed parabolic problem in a general smooth domain / Yu-Jiang Wu, Na Zhang and Lun-Ji Song -- 8. Incremental unknowns methods for the ADI and ADSI schemes / Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang -- 9. Stability of a colocated FV scheme for the 3D Navier-Stokes equations / Xu Li and Shu-qin Wang -- 10. Computing the multiple positive solutions to p-Henon equation on the unit square / Zhaoxiang Li and Zhonghua Yang -- 11. Multilevel WBIUs methods for reaction-diffusion equations / Yang Wang, Yu-Jiang Wu and Ai-Li Yang -- 12. Models and dynamics of deterministically growing networks / Weigang Sun, Jingyuan Zhang and Guanrong Chen -- 13. On different approaches to synchronization of spatiotemporal chaos in complex networks / Yuan Chai and Li-Qun Chen -- 14. Chaotic dynamical systems on fractals and their applications to image encryption / Ruisong Ye, Yuru Zou and Jian Lu -- 15. Planar crystallographic symmetric tiling patterns generated from invariant maps / Ruisong Ye, Haiying Zhao and Yuanlin Ma -- 16. Complex dynamics in a simple two-dimensional discrete system / Huiqing Huang and Ruisong Ye -- 17. Approximate periodic solutions of damped harmonic oscillators with delayed feedback / Qian Guo -- 18. The numerical methods in option pricing problem / Xiong Bo -- 19. Synchronization and its control between two coupled networks / Yongqing Wu and Minghai Lü. |
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| id | ZDB-4-EBA-ocn841913824 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:19Z |
| institution | BVB |
| isbn | 9789814436465 9814436461 1299462650 9781299462656 |
| language | English |
| oclc_num | 841913824 |
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| physical | 1 online resource (414 pages). |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
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| publisher | World Scientific Publishing Company, |
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| series | Interdisciplinary mathematical sciences. |
| series2 | Interdisciplinary Mathematical Sciences ; |
| spelling | Li, Changpin. Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. Singapore : World Scientific Publishing Company, 2013. 1 online resource (414 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier Interdisciplinary Mathematical Sciences ; v. 15 Print version record. Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations w. Includes bibliographical references and index. 1. Gronwall inequalities / Fanhai Zeng, Jianxiong Cao and Changpin Li -- 2. Existence and uniqueness of the solutions to the fractional differential equations / Yutian Ma, Fengrong Zhang and Changpin Li -- 3. Finite element methods for fractional differential equations / Changpin Li and Fanhai Zeng -- 4. Fractional step method for the nonlinear conservation laws with fractional dissipation / Can Li and Weihua Deng -- 5. Error analysis of spectral method for the space and time fractional Fokker-Planck equation / Tinggang Zhao and Haiyan Xuan -- 6. A discontinuous finite element method for a type of fractional Cauchy problem / Yunying Zheng -- 7. Asymptotic analysis of a singularly perturbed parabolic problem in a general smooth domain / Yu-Jiang Wu, Na Zhang and Lun-Ji Song -- 8. Incremental unknowns methods for the ADI and ADSI schemes / Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang -- 9. Stability of a colocated FV scheme for the 3D Navier-Stokes equations / Xu Li and Shu-qin Wang -- 10. Computing the multiple positive solutions to p-Henon equation on the unit square / Zhaoxiang Li and Zhonghua Yang -- 11. Multilevel WBIUs methods for reaction-diffusion equations / Yang Wang, Yu-Jiang Wu and Ai-Li Yang -- 12. Models and dynamics of deterministically growing networks / Weigang Sun, Jingyuan Zhang and Guanrong Chen -- 13. On different approaches to synchronization of spatiotemporal chaos in complex networks / Yuan Chai and Li-Qun Chen -- 14. Chaotic dynamical systems on fractals and their applications to image encryption / Ruisong Ye, Yuru Zou and Jian Lu -- 15. Planar crystallographic symmetric tiling patterns generated from invariant maps / Ruisong Ye, Haiying Zhao and Yuanlin Ma -- 16. Complex dynamics in a simple two-dimensional discrete system / Huiqing Huang and Ruisong Ye -- 17. Approximate periodic solutions of damped harmonic oscillators with delayed feedback / Qian Guo -- 18. The numerical methods in option pricing problem / Xiong Bo -- 19. Synchronization and its control between two coupled networks / Yongqing Wu and Minghai Lü. English. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Dynamique. Théories non linéaires. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Differential Equations General. bisacsh Differential equations, Partial Numerical solutions fast Dynamics fast Nonlinear theories fast Wu, Yujiang. Ye, Ruisong. Print version: 9789814436458 Interdisciplinary mathematical sciences. http://id.loc.gov/authorities/names/n2004018211 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=564539 Volltext |
| spellingShingle | Li, Changpin Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. Interdisciplinary mathematical sciences. 1. Gronwall inequalities / Fanhai Zeng, Jianxiong Cao and Changpin Li -- 2. Existence and uniqueness of the solutions to the fractional differential equations / Yutian Ma, Fengrong Zhang and Changpin Li -- 3. Finite element methods for fractional differential equations / Changpin Li and Fanhai Zeng -- 4. Fractional step method for the nonlinear conservation laws with fractional dissipation / Can Li and Weihua Deng -- 5. Error analysis of spectral method for the space and time fractional Fokker-Planck equation / Tinggang Zhao and Haiyan Xuan -- 6. A discontinuous finite element method for a type of fractional Cauchy problem / Yunying Zheng -- 7. Asymptotic analysis of a singularly perturbed parabolic problem in a general smooth domain / Yu-Jiang Wu, Na Zhang and Lun-Ji Song -- 8. Incremental unknowns methods for the ADI and ADSI schemes / Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang -- 9. Stability of a colocated FV scheme for the 3D Navier-Stokes equations / Xu Li and Shu-qin Wang -- 10. Computing the multiple positive solutions to p-Henon equation on the unit square / Zhaoxiang Li and Zhonghua Yang -- 11. Multilevel WBIUs methods for reaction-diffusion equations / Yang Wang, Yu-Jiang Wu and Ai-Li Yang -- 12. Models and dynamics of deterministically growing networks / Weigang Sun, Jingyuan Zhang and Guanrong Chen -- 13. On different approaches to synchronization of spatiotemporal chaos in complex networks / Yuan Chai and Li-Qun Chen -- 14. Chaotic dynamical systems on fractals and their applications to image encryption / Ruisong Ye, Yuru Zou and Jian Lu -- 15. Planar crystallographic symmetric tiling patterns generated from invariant maps / Ruisong Ye, Haiying Zhao and Yuanlin Ma -- 16. Complex dynamics in a simple two-dimensional discrete system / Huiqing Huang and Ruisong Ye -- 17. Approximate periodic solutions of damped harmonic oscillators with delayed feedback / Qian Guo -- 18. The numerical methods in option pricing problem / Xiong Bo -- 19. Synchronization and its control between two coupled networks / Yongqing Wu and Minghai Lü. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Dynamique. Théories non linéaires. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Differential Equations General. bisacsh Differential equations, Partial Numerical solutions fast Dynamics fast Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85040316 http://id.loc.gov/authorities/subjects/sh85092332 http://id.loc.gov/authorities/subjects/sh85037915 |
| title | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_auth | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_exact_search | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_full | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_fullStr | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_full_unstemmed | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| title_short | Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis : |
| title_sort | recent advances in applied nonlinear dynamics with numerical analysis fractional dynamics network dynamics classical dynamics and fractal dynamics with their numerical simulations |
| title_sub | Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations. |
| topic | Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Dynamique. Théories non linéaires. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Differential Equations General. bisacsh Differential equations, Partial Numerical solutions fast Dynamics fast Nonlinear theories fast |
| topic_facet | Dynamics. Nonlinear theories. Differential equations, Partial Numerical solutions. Dynamique. Théories non linéaires. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Differential Equations General. Differential equations, Partial Numerical solutions Dynamics Nonlinear theories |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=564539 |
| work_keys_str_mv | AT lichangpin recentadvancesinappliednonlineardynamicswithnumericalanalysisfractionaldynamicsnetworkdynamicsclassicaldynamicsandfractaldynamicswiththeirnumericalsimulations AT wuyujiang recentadvancesinappliednonlineardynamicswithnumericalanalysisfractionaldynamicsnetworkdynamicsclassicaldynamicsandfractaldynamicswiththeirnumericalsimulations AT yeruisong recentadvancesinappliednonlineardynamicswithnumericalanalysisfractionaldynamicsnetworkdynamicsclassicaldynamicsandfractaldynamicswiththeirnumericalsimulations |