Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body
Synchronization of spatiotemporal chaos using nonlinear feedback functions.
Synchronization of strongly coupled neural networks.
Synchronizing spatiotemporal chaos by introducing a finite flat region in the local map.
Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory
Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems.
The bounce problem, on n-dimensional Riemannian manifolds
In questo lavoro vengono generalizzati i risultati relativi al problema del rimbalzo unidimensionale studiato in [5]. Precisamente si considera un punto mobile su una varietà Riemanniana -dimensionale, soggetto all’azione di un potenziale variabile nel tempo e vincolato a restare in una parte di avente un bordo di classe contro cui il punto «rimbalza»....
The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism
The conjugacy between Cascades generated by a weakly nonlinear system and the Euler method of a flow
Sufficient conditions for the existence of a topological conjugacy between a cascade obtained from a weakly nonlinear flow by fixing the time step and a cascade obtained by the Euler method are analysed. The aim of this paper is to provide relations between constants in the Fečkan theorem. Given such relations an implementation of a weakly nonlinear neuron is possible.
The coupling of dynamics in couplied map lattices.
The dynamic complexity of a Holling type-IV predator-prey system with stage structure and double delays.
The dynamics of living and thinking systems, biological networks, and the laws of physics.
The dynamics of the pulse birth in an SIR epidemic model with standard incidence.
The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system.
The effect of radiation on the stochastic web.
The emergence of bull and bear dynamics in a nonlinear model of interacting markets.
The equivalence of controlled lagrangian and controlled hamiltonian systems
The purpose of this paper is to show that the method of controlled lagrangians and its hamiltonian counterpart (based on the notion of passivity) are equivalent under rather general hypotheses. We study the particular case of simple mechanical control systems (where the underlying lagrangian is kinetic minus potential energy) subject to controls and external forces in some detail. The equivalence makes use of almost Poisson structures (Poisson brackets that may fail to satisfy the Jacobi identity)...
The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems
The purpose of this paper is to show that the method of controlled Lagrangians and its Hamiltonian counterpart (based on the notion of passivity) are equivalent under rather general hypotheses. We study the particular case of simple mechanical control systems (where the underlying Lagrangian is kinetic minus potential energy) subject to controls and external forces in some detail. The equivalence makes use of almost Poisson structures (Poisson brackets that may fail to satisfy the Jacobi identity)...
The evolution of nonlinear dynamics in political science and public administration: Methods, modeling and momentum.
The Geometric and Dynamic Essence of Phyllotaxis
We present a dynamic geometric model of phyllotaxis based on two postulates, primordia formation and meristem expansion. We find that Fibonacci, Lucas, bijugate and multijugate are all variations of the same unifying phenomenon and that the difference lies in the changes in position of initial primordia. We explore the set of all initial positions and color-code its points depending on the phyllotactic pattern that arises.