## References

SHOWING 1-10 OF 18 REFERENCES

### Kolmogorov Turbulence Defeated by Anderson Localization for a Bose-Einstein Condensate in a Sinai-Oscillator Trap.

- PhysicsPhysical review letters
- 2017

It is shown that in a certain regime of weak driving and weak nonlinearity such a turbulent energy flow is defeated by the Anderson localization that leads to localization of energy on low energy modes.

### Dynamics and thermalization of a Bose-Einstein condensate in a Sinai-oscillator trap

- Physics
- 2016

We study numerically the evolution of Bose-Einstein condensate in the Sinai-oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions, this trap…

### Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap

- PhysicsCondensed Matter
- 2019

We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai oscillator trap. This system is characterized by a quantum chaos regime…

### Quasiperiodic motions in superquadratic time-periodic potentials

- Mathematics
- 1991

It is shown that for a large class of potentials on the line with superquadratic growth at infinity and with the additional time-periodic dependence all possible motions under the influence of such…

### Invariant Tori in Hamiltonian Systems with Impacts

- Physics, Mathematics
- 2000

Abstract:It is shown that a large class of solutions in two-degree-of-freedom Hamiltonian systems of billiard type can be described by slowly varying one-degree-of-freedom Hamiltonian systems. Under…

### On the Application of KAM Theory to Discontinuous Dynamical Systems

- Mathematics
- 1997

Abstract So far the application of Kolmogorov–Arnold–Moser (KAM) theory has been restricted to smooth dynamical systems. Since there are many situations which can be modeled only by differential…

### MATHEMATICAL METHODS OF CLASSICAL MECHANICS (Graduate Texts in Mathematics, 60)

- Mathematics
- 1982

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the…

### Mathematical Methods of Classical Mechanics

- Physics
- 1974

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid…

### Dynamical Systems

- Economics
- 2006

There is a rich literature on discrete time models in many disciplines – including economics – in which dynamic processes are described formally by first-order difference equations (see (2.1)).…

### Switching in Systems and Control

- MathematicsSystems & Control: Foundations & Applications
- 2003

I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.