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A new Lorenz-like chaotic attractor is presented with some basic properties in terms of equilibria, eigenvalues of the Jacobian matrices, generalized Lorenz system (GLS), existence of the attractor, Lyapunov exponents and compound structures. Although the differential equations of the new system are quite different from those of the Lorenz system, and although they are not topological equivalent,...
Matrix A is said to be additively D-stable if A-D remains Hurwitz for all nonnegative diagonal matrices D. In reaction-diffusion models, additive D-stability of the matrix describing the reaction dynamics guarantees stability of the homogeneous steady-state, thus ruling out the possibility of diffusion-driven instabilities. We present a new criterion for additive D-stability using the concept of compound...
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