Nonlinear Dynamics, Chaos, and Applications: From Fractional Systems to Astrophysical Models
|
Organizer(s): |
Name:
|
Affiliation:
|
Country:
|
Mattia Coccolo
|
Universidad rey Juan Carlos
|
Spain
|
Juan Carlos Vallejo
|
Universidad rey Juan Carlos
|
Spain
|
|
|
|
|
|
|
|
|
Introduction:
| | This special session will explore the frontiers of nonlinear dynamics and chaos in a broad and interdisciplinary context, with an emphasis on both foundational advances and real-world applications. We aim to bring together researchers from diverse fields including physics, mathematics, engineering, computational neuroscience, quantum systems, and astrophysics, to present and discuss novel approaches to complex dynamical phenomena.
Topics will include recent developments in fractional-order systems, synchronization and resonance phenomena in coupled oscillators, nonlinear modeling of neural activity, unpredictability in quantum and classical systems, and complex dynamics in astrophysical scenarios.
A special focus will be given to:
The role of fractional derivatives in describing memory and hereditary effects in physical and biological systems.
Delay-induced phenomena and resonance in nonlinear and stochastic systems.
Quantum chaos and classical-quantum correspondence.
Astrophysical chaos, including orbital dynamics, escape basins, scattering phenomena and unpredictability in galactic models.
Neural models (e.g., FitzHugh–Nagumo, Rulkov) and their bifurcation and synchronization patterns.
Other topics of interest include (but are not limited to):
Chaos and complexity in nonlinear dynamical systems
Synchronization in coupled oscillators and networks
Control and predictability of chaotic dynamics
Neuronal dynamics and bursting behavior
Chaotic scattering and escape basin structures
Lyapunov-based methods and phase space analysis
|
|
|
|
|
|
