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A chain rule formula in BV and applications to conservation laws
chain rule formula BV conservation laws
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2010/11/9
In this paper we prove a new chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:]a,b[\to\R^d$ has bounded variation, $B(x,\cdot)$ is continuousl...
Infinitely many symmetries and conservation laws for quad-graph equations via the Gardner method
conservation laws quad-graph equations
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2010/4/1
The application of the Gardner method for generation of conservation laws to all the ABS equations is considered. It is shown that all the necessary information for the application of the Gardner meth...
Periodic-orbit analysis and scaling laws of intermingled basins of attraction in an ecological dynamical system
Periodic-orbit analysis scaling laws ecological dynamical system
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2010/4/7
Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is...