Analytical and Approximate Methods for Complex Dynamical Systems
This book presents Analytical and Approximate Methods for Complex Dynamical Systems and introduces ideas of discontinuous mapping treated as complex dynamical systems. Mathematicians of world-recognized Ukrainian scientific schools established by M.Krylov, M.Bogolyubov, Yu.Mitropolskiy, and A.Sharko...
Збережено в:
| Співавтор: | |
|---|---|
| Інші автори: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Редагування: | 1st ed. 2025. |
| Серія: | Understanding Complex Systems,
|
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-77378-5 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
Зміст:
- 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.