Dynamical Systems And Applications

Ravi P Agarwal

• Publisher: World Scientific
• Year: 1995
• Print ISBN: 9789810223830, 9789810223830
• eBook ISBN: 9789812796417
• Topic: Sciences biologiques
• Subtopic: Science générale

World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important nonlinear problems ranging from physics and chemistry to ecology and economics. All these developments have made dynamical systems theory an important and attractive branch of mathematics to scientists in many disciplines. This rich mathematical subject has been partially represented in this collection of 45 papers by some of the leading researchers in the area. This volume contains 45 state-of-art articles on the mathematical theory of dynamical systems by leading researchers. It is hoped that this collection will lead new direction in this field.Contributors: B Abraham-Shrauner, V Afraimovich, N U Ahmed, B Aulbach, E J Avila-Vales, F Battelli, J M Blazquez, L Block, T A Burton, R S Cantrell, C Y Chan, P Collet, R Cushman, M Denker, F N Diacu, Y H Ding, N S A El-Sharif, J E Fornaess, M Frankel, R Galeeva, A Galves, V Gershkovich, M Girardi, L Gotusso, J Graczyk, Y Hino, I Hoveijn, V Hutson, P B Kahn, J Kato, J Keesling, S Keras, V Kolmanovskii, N V Minh, V Mioc, K Mischaikow, M Misiurewicz, J W Mooney, M E Muldoon, S Murakami, M Muraskin, A D Myshkis, F Neuman, J C Newby, Y Nishiura, Z Nitecki, M Ohta, G Osipenko, N Ozalp, M Pollicott, Min Qu, Donal O-Regan, E Romanenko, V Roytburd, L Shaikhet, J Shidawara, N Sibony, W-H Steeb, C Stoica, G Swiatek, T Takaishi, N D Thai Son, R Triggiani, A E Tuma, E H Twizell, M Urbanski; T D Van, A Vanderbauwhede, A Veneziani, G Vickers, X Xiang, T Young, Y Zarmi.

Table of contents

• CONTENTS
• Contributors
• Preface
• LIE SYMMETRIES, HIDDEN SYMMETRIES AND TIME-DEPENDENT INVARIANTS
• Generalization of a Theorem of Malta and Palis
• NECESSARY CONDITIONS OF OPTIMALITY FOR A CLASS OF SEMILINEAR UNCERTAIN SYSTEMS WITH UNBOUNDED MONOTONE OPERATOR
• SEMIGROUPS AND EXPONENTIAL STABILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS ON THE HALF-LINE
• Permanence in periodic–parabolic ecological systems with spatial heterogeneity
• EXPONENTIAL BOUNDS FOR BIFURCATION FUNCTIONS IN SINGULAR SYSTEMS WITH IMPULSES
• BIFURCATION FROM HOMOCLINIC ORBITS TO A SADDLE-SADDLE POINT IN A BANACH SPACE
• CONTINUITY OF ENTROPY FOR A TWO-PARAMETER FAMILY OF BIMODAL MAPS
• THE SEARCH FOR PERIODIC SOLUTIONS IN NEURAL NETWORKS
• SINGULAR REACTION-DIFFUSION MIXED BOUNDARY-VALUE QUENCHING PROBLEMS
• ASYMPTOTIC DISTRIBUTION OF ENTRANCE TIMES FOR EXPANDING MAPS OF THE INTERVAL
• Visualizing special motions of the Euler top
• Conformal Measures and S-Unimodal Maps
• THE MANEV TWO-BODY PROBLEM: QUANTITATIVE AND QUALITATIVE THEORY
• PERIODIC SOLUTIONS FOR A SECOND ORDER HAMILTONIAN SYSTEM
• Holomorphic Symplectomorphisms in C2
• ON A FREE INTERFACE PROBLEM MODELING SOLID COMBUSTION AND RAPID SOLIDIFICATION IN INFINITE MEDIUM
• On SIMPLEST ENGEL STRUCTURES on 4-MANIFOLDS
• Discrete and continuous nonlinear models for the vibrating string
• Polynomial-Like Mappings Induced by Real Polynomials
• STABILITY PROPERTIES IN ABSTRACT LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
• LIMIT BEHAVIOUR FOR A COMPETING SPECIES PROBLEM WITH DIFFUSION
• NORMAL FORM PERTURBATION ANALYSIS OF NON-AUTONOMOUS OSCILLATORY SYSTEMS
• On The Compact Asymptotic Stability
• Spurious Chaotic Solutions of Differential Equations
• GENERAL METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION FOR STABILITY INVESTIGATION OF STOCHASTIC DIFFERENCE EQUATIONS
• THE FOGUEL ALTERNATIVE FOR INTEGRAL MARKOV OPERATORS
• Abstract model and semigroup well-posedness of spherical shells with boundary dissipation
• PERMANENCE UNDER STRONG COMPETITION
• A Remark on Rigidity of the Symplectic Blow up
• CONTINUITY OF ENTROPY REVISITED
• A NUMERICAL METHOD FOR ACCURATE CRITICAL LENGTH ESTIMATION IN SINGULAR QUENCHING PRBLEMS
• PRINCIPAL PAIRS FOR OSCILLATORY SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS
• ALTERNATE APPROACH THAT GENERATES COMPLICATED BEHAVIOR STARTING WITH SINE CURVES
• On autonomous self-supporting impulsive-continuous system
• DYNAMICS OF INHIBITORY PULSE-COUPLED OSCILLATORS
• STABILITY OF SOLITARY WAVES FOR THE ZAKHAROV EQUATIONS
• APPLIED SYMBOLIC DYNAMICS: CONSTRUCTION OF PERIODIC TRAJECTORIES
• INFINITESIMAL RIGIDITY OF GROUP ACTIONS WITH HYPERBOLIC GENERATORS
• EXISTENCE THEORY FOR NONLINEAR VOLTERRA AND HAMMERSTEIN INTEGRAL EQUATIONS
• On Chaos in Continuous Difference Equations
• DIFFERENTIAL EQUATIONS AND COMPUTER ALGEBRA
• MINIMAX SOLUTIONS OF FIRST–ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH TIME–MEASURABLE HAMILTONIANS
• A NUMERICAL METHOD FOR THE SOLUTION OF A LIENARD-TYPE INITIAL-VALUE PROBLEM WITH PERIODIC DECAYING FORCING TERM
• Normal forms and versal unfoldings of symplectic linear mappings