Bifurcation theory and applications in scientific disciplines: [papers from a conference held Oct. 31 - Nov. 4, 1977]
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York, NY
New York Acad. of Sciences
1979
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| Series: | Annals of the New York Academy of Sciences
316 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 708 S. Ill., zahlr. graph. Darst. |
| ISBN: | 0897660005 |
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Record in the Search Index
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| adam_text | ANNALS OF THE NEW YORK ACADEMY OF SCIENCES
Volume 316
February 28, 1979
BIFURCATION THEORY AND APPLICATIONS IN SCIENTIFIC
DISCIPLINES*
Editors and Conference Chairmen
Okan Gurel and Otto E. Rossler
¦?¦
CONTENTS
Preface. By Okan Gurel 1
Introduction
Poincare s Bifurcation Analysis. By Okan Gurel 5
Part I. Mathematics
Introduction. By Eberhard Hopf 27
A General Bifurcation Theorem. By Jane Cronin 28
Necessary and Sufficient Conditions for Cooperative Peeling
of Multiple Generating Singular Points. By Okan Gurel 39
On Stability of Stationary Points of Transformation Groups.
By Morris W. Hirsch 43
Spontaneous Symmetry Breaking in Nonlinear Problems.
By D. H. Sattinger 49
Applications of Bifurcation Theory in the Analysis of Spatial and
Temporal Pattern Formation. By H. G. Othmer 64
The Bifurcation of Quadratic Functions. By John Guckenheimer 78
Bifurcation from Completely Unstable Flows on the Cylinder.
By Zbigniew Nitecki 86
Homoclinic Orbits to Hyperbolic Equilibria. By Robert L. Devaney 108
Upper Semicontinuity of Topological Entropy. By Anthony Manning 118
Structural Stability and Bifurcation Theory. ByS. E. Newhouse 121
An Analysis of Imperfect Bifurcation. ByM. GoLUBiTSKYand
D. SCHAEFFER 127
Extension and Interpolation of Catastrophes. By L. M arkus 134
Factorization Theorems and Repeated Branching of Solutions
at a Simple Eigenvalue. By D. D. Joseph 150
The Nonoccurrence of Secondary Bifurcation with Hammerstein Operators.
By George H. Pimbley 168
*This series of papers is the result of a conference entitled Bifurcation Theory
and Applications in Scientific Disciplines, held on October 31, November 1, 2, 3,
and 4, 1977 and sponsored by The New York Academy of Sciences and the Uni¬
versity of Tubingen.
Part II. Biology
Bifurcations and Biological Observables. By Robert Rosen 178
The Random Character of Bifurcations and the Reproducible Processes
of Embryonic Development. By Hans Meinhardt 188
Temporal and Spatial Order in Biochemical Systems.
By Benno Hess and Theodor Plesser 203
Pathological Conditions Resulting from Instabilities in
Physiological Control Systems. By Leon Glass and
Michael C. Mackey 214
Spatial, Chiral, and Temporal Self-Organization through
Bifurcation in Bioids, Open Systems Capable of a Generalized
Darwinian Evolution. By Peter Decker 236
Part III. Chemistry and Chemical Engineering
Effect of Fluctuations on Bifurcation Phenomena. ,
ByG. Nicousand J. W. Turner 251
Bifurcating Waves. By J. F. G. Auchmuty 263
Oscillations, Bistability, and Echo Waves in Models of the
Belousov-Zhabotinskii Reaction. By John J. Tyson 279
The Bifurcation Diagram of Model Chemical Reactions.
By M. Herschkowitz-Kaufman and T. Erneux 296
Chemical Reactors and Some Bifurcation Phenomena.
By Rutherford Aris 314
Interacting Oscillatory Chemical Reactors.
By Donald S. Cohen and John C. Neu 332
Nonthermal Instabilities of Optimized Chemical Reactors—
Hysteresis Jumps in Binary Reactions with Homogeneous
Catalysis near the State of Maximal Yield Even under Strictly
Isothermal Conditions. By Friedrich Franz Seelig 338
Discussion Paper: Bifurcations and Perturbed Attractors in
Physicochemical Systems. By Peter Ortoleva 350
Part IV. Physics
Synergetics and Bifurcation Theory. By H. Haken 357
Continuous Chaos—Four Prototype Equations.
By Otto E. Rossler 376
The Bifurcation Space of the Lorenz Attractor. By R. F. Williams 393
The Onset of Chaos in a Fluid Flow Model of Lorenz.
By James L. Kaplan and James A. Yorke 400
Sensitive Dependence on Initial Condition and Turbulent Behavior
of Dynamical Systems. By David Ruelle 408
Phase Transitions as a Problem in Bifurcation Theory.
By John J. Kozak 417
The Role of Fluctuations in Multistable Systems and in the Transition
to Multistability. By Rolf Landauer 433
Master Equations, Stochastic Differential Equations, and Bifurcations.
By C. W. Gardiner, S. Chaturvedi, and D. F. Walls 453
Discussion Paper: Fractals, Attractors, and the Fractal Dimension.
By Benoit B. Mandelbrot 463
Part V. Ecology
Ecosystem Stability and Bifurcation in the Light of Adaptability Theory.
By Michael Conrad 465
On Bifurcation in Ecosystem Models. By Thomas G. Hallam 482
Some Diffusive Prey and Predator Systems and Their Bifurcation Problems.
By Masayasu Mimura, Yasumasa Nishiura, and Masaya Yamaguti .. 490
Nonunique Stable Responses of Externally Forced Oscillatory Systems.
By F.C. HoppENSTEADTand J. E. Flaherty 511
Bifurcations and Dynamic Complexity in Ecological Systems.
By Robert M. May 517
Part VI. Economics
Causally Indeterminate Models via Multi-Valued Differential Equations.
By Henry Y. Wan, Jr 530
On Comparative Statics and Bifurcation in Economic Equilibrium Theory.
By Steve Smale 545
Discussion Paper. By H. Y. Wan, Jr 549
Part VII. Engineering
Bifurcational Aspects of Catastrophe Theory. By]. M. T.Thompson 553
Imperfections and Near-Coincidence for Semisymmetric Bifurcations.
By Giles W. Hunt 572
Some Applicable Hopf Bifurcation Formulas and an Application
in Wind Engineering. By A. B. Poore and A. Al-Rawi 590
Topics in Local Bifurcation Theory. By Jack K. Hale 605
Qualitative Techniques for Bifurcation Analysis of Complex Systems.
By Philip Holmes and Jerrold E. Marsden 608
Part VIII. Experimentation and Simulation
Bistability, Oscillation, and Chaos in an Enzyme Reaction.
By Hans Degn, Lars F. Olsen, and John W. Perram 623
Observations of Complex Dynamic Behavior in the H2 O2 Reaction
on Nickel. By R. A. Schmitz, G. T. Renola, and P. C. Garrigan 638
Bifurcations to Periodic, Quasiperiodic, and Chaotic Regimes
in Rotating and Convecting Fluids. By P. R. Fenstermacher,
H. L. Swinney, S. V. Benson, and J. P. Gollub 652
Discussion Paper: Experimental Investigations of Behavior and
Stability Properties of Attractors Corresponding to Burst Phenomena
in the Open Belousov Reaction. By P. Graae S0rensen 667
Dynasim: Exploratory Research in Bifurcations Using Interactive
Computer Graphics. By Ralph H. Abraham 676
Closing Remarks. By Okan Gurel 685
Author Index 687
Subject Index 695
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| genre_facet | Konferenzschrift 1977 New York, NY |
| id | DE-604.BV001002126 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:22:23Z |
| institution | BVB |
| isbn | 0897660005 |
| language | English |
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| series | Annals of the New York Academy of Sciences |
| series2 | Annals of the New York Academy of Sciences |
| spelling | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] ed. by Okan Gurel ... New York, NY New York Acad. of Sciences 1979 708 S. Ill., zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Annals of the New York Academy of Sciences 316 Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1977 New York, NY gnd-content Verzweigung Mathematik (DE-588)4078889-1 s DE-604 Gurel, Okan Sonstige oth Annals of the New York Academy of Sciences 316 (DE-604)BV002532608 316 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000606179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] Annals of the New York Academy of Sciences Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4078889-1 (DE-588)1071861417 |
| title | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] |
| title_auth | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] |
| title_exact_search | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] |
| title_full | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] ed. by Okan Gurel ... |
| title_fullStr | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] ed. by Okan Gurel ... |
| title_full_unstemmed | Bifurcation theory and applications in scientific disciplines [papers from a conference held Oct. 31 - Nov. 4, 1977] ed. by Okan Gurel ... |
| title_short | Bifurcation theory and applications in scientific disciplines |
| title_sort | bifurcation theory and applications in scientific disciplines papers from a conference held oct 31 nov 4 1977 |
| title_sub | [papers from a conference held Oct. 31 - Nov. 4, 1977] |
| topic | Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Verzweigung Mathematik Konferenzschrift 1977 New York, NY |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000606179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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