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Global instability in the elliptic restricted three body problem
Elliptic Restricted Three Body problem Arnold diffusion splitting of separatrices Melnikov integral
2015/9/25
The (planar) ERTBP describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries, say the Sun and Jupiter) revolving around their center of m...
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
Exponential self similar solutions technique for instability phenomenon arising in double phase flow through porous medium with capillary pressure
Immiscible fluid Instability Flows in porous media
2010/9/25
The theoretical studies involved development of the differential equations which describe the instability of water by an oil-saturated rock. The basic assumption underlying the present investigation i...
An Instability Theorem for a Certain Vector Differential Equation of the Fourth Order
System of nonlinear differential equations of fourth order Instability
2008/7/2
In this paper sufficient conditions for the instability of the zero
solution of the equation (1.1) are given.
Nonuniform Approach to Terminal Velocity for Single Mode Rayleigh-Taylor Instability
Rayleigh-Taylor instability terminal velocity
2007/12/10
The temporal development of a single mode Rayleigh-Taylor instability consists of three stages: the linear, free fall and terminal velocity regimens. The purpose of this paper is to report on new phen...