Scale Invariance in Nonlinear Dynamical Systems

Éditeur :

Springer

Paru le : 2026-04-26

This book aims to explore the scale invariance present in certain nonlinear dynamical systems. We will discuss both ordinary differential equations (ODEs) and discrete-time maps. The loss of predictability in the temporal evolution of nearby initial conditions, and the resulting exponential divergen...
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Éditeur

Collection
n.c

Parution
2026-04-26

Pages
327 pages

EAN papier
9789819538768

Auteur(s) du livre


Edson Denis Leonel is a Professor of Physics at São Paulo State University (UNESP), Rio Claro, Brazil. He has been working on scaling investigations since his Ph.D. in 2003, where he conducted the first study of scaling behavior in the chaotic sea of the Fermi-Ulam model. His research group has developed a variety of approaches and formalisms to investigate and characterize scaling properties across a wide range of systems, including one-dimensional mappings, ordinary differential equations, cellular automata, meme propagation, and time-dependent billiards. His group has investigated different types of transitions in using scaling investigations, including but not limited to: (i) the transition from integrability to non-integrability; (ii) the transition from limited to unlimited diffusion; and (iii) the production and suppression of Fermi acceleration - the latter involving the analytical solution of the diffusion equation. Professor Leonel and his collaborators have published more than 180 scientific papers in respected international journals, including three in Physical Review Letters. He is the author of Scaling Laws in Dynamical Systems (Springer & Higher Education Press, 2021), and Dynamical Phase Transitions in Chaotic Systems (Springer & Higher Education Press, 2023) as well as two books in Portuguese: one on Statistical Mechanics (Blucher, 2015) and another on Nonlinear Dynamics (Blucher, 2019).

Caractéristiques détaillées - droits

EAN PDF
9789819538775
Prix
168,79 €
Nombre pages copiables
3
Nombre pages imprimables
32
Taille du fichier
29102 Ko
EAN EPUB
9789819538775
Prix
168,79 €
Nombre pages copiables
3
Nombre pages imprimables
32
Taille du fichier
52900 Ko

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