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Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Generalized Extreme Value distribution parameters as dynamical indicators of Stability
Generalized Extreme Value distribution parameters dynamical indicators of Stability Dynamical Systems
2011/9/23
Abstract: We introduce a new dynamical indicator of stability based on the Extreme Value statistics showing that it provides an insight on the local stability properties of dynamical systems. The indi...
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Asymptotic Stability of Dissipated Hamilton-Poisson Systems
dynamical systems stability theory rigid body
2011/9/16
Abstract: We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Ha...
On stochastic stability of non-uniformly expanding interval maps
stochastic stability non-uniformly expanding interval maps Dynamical Systems
2011/9/5
Abstract: We study the expanding properties of random perturbations of regular interval maps satisfying the summability condition of exponent one. Under mild conditions, we prove strong stochastic sta...
Input-to-state stability of interconnected hybrid systems
Stability of hybrid systems Lyapunov methods Large-scale systems
2011/2/28
We consider interconnections of arbitrary topology of several hybrid input-to-state stable (ISS) systems and study whether the ISS property is preserved by an interconnection. The small gain approach ...
Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators
synchronization manifold der Pol oscillators nearest neighbors
2010/4/1
We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit...
An SMIB model in the power systems, especially thatconcering the effects of hard limits on bifurcations, chaos andstability is studied. Parameter conditions for bifurcations andchaos in the absence of...
A single-axis flux decay model including an excitationcontrol model proposed in [12,14,16] is studied. As thebifurcation parameter $P_{m}$ (input power to the generator)varies, the system exhibits dyn...
Fronts in reactive convection: bounds, stability and instability
Fronts in reactive convection bounds stability instability
2014/4/4
This paper examines a simpli ed active combustion model in which the reaction in uences the ow. We consider front propagation in a reactive Boussinesq system in
an in nite vertical strip. Nonlinear s...