Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Pub Date: Unknown Publisher: Science Press List Price: $ 75.00 Author: Publisher: Science Press ISBN: 9787030347404 Yema: Revision: Binding: Folio: Published :2012 -6-1 printing time: the number of words: product identification: 22808852 Introduction to physical. chemical. mathematical model of the mechanics and biology of physical movement often using differential equations defined by continuous dynamic systems simulation. these dynamics model complex dynamical behavior - chaotic nature. Chaos. Mel'nikov method and the new development is introduced to accurately determine the Mel'nikov method. with the chaotic nature of the sense of the presence of Smale horseshoe homoclinic and heteroclinic scholars in recent years developed and introduced to the dissipative saddle periodic orbits homoclinic and heteroclinic tangles theory. Author catalog of modern mathematics-Series Preface Preface Chapter 1 of the basic concepts of power systems 1.1 flow and discrete dynamical system 1.2 Basic definitions and properties of 1.3 topology conjugate symbolic dynamical system of structural stability and branches in Chapter 2. limited subshift symbolic dynamical systems and chaos concept 2.1 2.2 finite type subshift Chapter 3 2.3 Li-Yorke the theorem and Sarkovskii sequence 2.4 chaotic promotion of the concept of second-order cycle 3.1 second-order differential systems with two-dimensional mapping cycle differential system harmonics solution of 3.2 pulse incentive system Poincar map 3.3 Poincar mapping linear approximation and stability of periodic solutions 3.4 two-dimensional linear mapping 3.5 two-dimensional mapping Hopf branches and the Arnold tongue 4th Smale horseshoe ring Transversality homoclinic 4.1 Smale Horseshoe Map 4.2 Moser theorem and its promotion 4.3 two-dimensional hyperbolic diffeomorphism invariant set. tracking Lemma and Smale-Birkhoff theorem 4.4 Rm Cr diffeomorphism invariant set hyperbolicity 4.5 branches to the infinite multiple exchange 4.6 on Hnon Smale horseshoe Chapter 5 flat-Hamilton system. and change system 5.1 two-dimensional definitions and examples of integrable systems and the role - angle variable 5.2 changes force system 5.3 categories symmetric system of periodic orbits Family and the the homoclinic orbit 5.4 Periodic Solutions family cycle monotonicity Chapter 6 the Mel'nikov methods: disturbance integrable system of criteria for chaos 6.1 6.2 subharmonic branching existence of homoclinic points Mel'nikov function exported by the replacement method the homoclinic orbits Mel'nikov integral relationship between the branches of the stability of the solution 6.4 6.3 subharmonic periodic disturbance of 6.5 cycles disturbance system subharmonic Mel'nikov function 6.6 slow variable oscillator periodic orbits 6.7 slowly varying oscillator Chapter 7 Mel Subharmonic branching 'nikov subharmonic method: Application 7.1 soft spring Duffing system with horseshoe 7.2 times of symmetric heteroclinic ring system harmonic Van der Pol equation with the horseshoe 7.3 Josephson junction I ~~ V characteristic curves 7.4 Torus periodic solutions and homoclinic branches of the Lorenz equations Chaos and branches of the Horseshoe 7.5 branch of the biological systems and the chaotic nature of the 760 two-component Bose-Einstein condensate system 7.7 Rayleigh number 7.8 with two degrees of freedom Hamiltonian system the chaotic nature Appendix Jacobi elliptic function rational formula of Fourier Series Chapter 8 rank one attractor concept and chaotic dynamics 8.1 rank one attractor concept and theory of chaotic dynamics in ordinary differential equations 8.2 Chapter 9 dissipative saddle point homoclinic wrapped Results dynamics 9.1 Basic equations and return specific derivation in Appendix 9.3 of concrete examples and numerical results mapped 9.2 kinetic results 9.4 mapping R the Mel'nikov function (9.1.3) and the rel.

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Bibliographic Details

Title: Chaos. Melnikov method and new development(Chinese Edition)
Publisher: Science Press
Publication Date: 2012
Language: Chinese
ISBN 10: 7030347404
ISBN 13: 9787030347404
Binding: paperback
Condition: New

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