Discrete dynamics and difference equations : proceedings of the Twelfth International Conference on Difference Equations and Applications, Lisbon, Portugal, 23-27 July 2007 / edited by Saber N. Elaydi [and others].

Includes bibliographical references.

Combinatorics of Newton maps on quintic equations / F. Balibrea -- Hyperbolic dynamics in Nash maps / R.A. Becker [and others] -- Attractive cycles of an artificial neural network / S.S. Cheng and X.-L. Liu -- Hyperbolic and minimal sets / A.A. Pinto -- Difference equations with continuous time : Theory and applications / E. Yu. Romanenko and A.N. Sharkovsky -- Lyapunov-Schmidt : A discrete revision / A. Vanderbauwhede -- Pinto's golden tilings / J.P. Almeida -- Non-exponential stability and decay rates in nonlinear stochastic homogeneous difference equations / J.A.D. Appleby, G. Berkolaiko and A. Rodkina -- Dynamical consistency of solutions of continuous and discrete stochastic equations with a finite time explosion / J.A.D. Appleby, C. Kelly and A. Rodkina -- Interval maps and cellular automata / L. Bandeira, M.J. Martinho and C.C. Ramos -- Difference equations on matrix algebras / A.N. Baptista, C.C. Ramos and N. Martins -- The Beverton-Holt difference equation / M. Bohner, S. Stevic and H. Warth -- Global attractivity of a multiplicative delay population dynamics model / E. Braverman and S.H. Saker -- Periodically forced rational difference equations / E. Camouzis -- Chaotic synchronization of piecewise linear maps / A. Caneco, C. Gracio and J.L. Rocha -- On the iteration of smooth maps / M.F. Correia, C.C. Ramos and S. Vinagre -- The comparative index and the number of focal points for conjoined bases of symplectic difference systems / J.V. Elyseeva -- Conductance and mixing time in discrete dynamical systems / S. Fernandes and S. Jayachandran -- Pulsating equilibria : Stability through migration / T. Fujimoto, M. Li and P. Mossay -- Nonlinear prediction in complex systems using the Ruelle-Takens embedding / R. Goncalves and A.A. Pinto -- Reid roundabout theorems for time scale symplectic systems / R. Hilscher and V. Zeidan -- The global properties of a two-dimensional competing species model exhibiting mixed competition / P.J. Johnson and M.E. Burke -- Ordinal pattern distributions in dynamical dystems / K. Keller and M. Sinn -- Discretized pantograph equation with a forcing term : Note on asymptotic estimate / P. Kundrat -- General theory of linear functional equations in the space of strictly monotonic functions / J. Laitochova -- A dynamical system for a long term economic model / R. Luis and H. Oliveira -- Numerical range, numerical radii and the dynamics of a rational function / H. Melo and J. Cabral -- On first-order nonlinear difference equations of neutral type / M. Migda and J. Migda -- Oscillatory mixed differential difference equations / S. Pinelas -- Dynamic contact problems in linear viscoelasticity / N. Pop -- Regularly varying decreasing solutions of half-linear dynamic equations / P. Rehak and J. Vitovec -- Some considerations on fuzzy dynamical systems / R. Rodriguez-Lopez -- Asymptotic behavior of solutions of third order difference equations / E. Schmeidel and M. Zbaszyniak -- Difference equations and nonlinear boundary value problems for hyperbolic systems / A.N. Sharkovsky, R. Severino and S. Vinagre -- Conservation laws of several (2 + 1)-dimensional differential-difference hierarchies / Z.-N. Zhu.

This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.

Print version record.

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