Analytical and Approximate Methods for Complex Dynamical Systems

Inbunden, Engelska, 2025

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This book presents Analytical and Approximate Methods for Complex Dynamical Systems and introduces ideas of discontinuous mapping treated as complex dynamical systems.

Produktinformation

Utgivningsdatum2025-03-17
Mått155 x 235 x 27 mm
Vikt744 g
FormatInbunden
SpråkEngelska
SerieUnderstanding Complex Systems
Antal sidor378
FörlagSpringer International Publishing AG
ISBN9783031773778

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Part I: General and specific problems of complex dynamical systems.- Organising centres in a 2D discontinuous map.- Phase models for coupled oscillator networks.- The conflict problem and opinion formation models.- Dynamics of conflict interaction in terms of minimal players.- Generalised intermittency in non-ideal and “classical” dynamical systems.- Lanchester’s equations in conflicting sides using ODEINT Python library.- Reversible saddle-node separatrix-loop bifurcation.- Stationary and travelling synchronisation patterns in systems of coupled active rotators.- Part II: Continuum media modelling.- Complex dynamical systems of two-dimensional sloshing in rectangular tank.- Swirling-type sloshing in square base tank due to orbital excitations.- Towards kinetic equations of open systems of active soft matter.- Freely oscillating drop.- Nonlinear WKB method, asymptotic soliton-like solutions of variable coefficients Korteweg–de Vries equations with singular perturbation and Rankine–Hugoniot-type conditions.- Part III: Auxiliary problems of complex dynamical systems.- On group classification of nonlinear heat equation: algebraic approach.- Mathematical modelling of the interconnected boundary-value problems in the Hilbert space.- Averaging in a generalised multifrequency system with a delay.- Exponentially convergent method for Hardy-Titchmarsh–type equation with unbounded operator coefficient in Banach space.- Regularization of linear impulsive boundary value problem for systems of integro-differential equations.- Interconnected system for the Lyapunov equation with control and boundary conditions.- Lyapunov function and smooth periodic solutions to quasilinear 1D hyperbolic systems.