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We study a simple replicator model with non-symmetric and nonlocal interactions. Hierarchical structures with prey-predator relations are self-organized from a homogeneous state, induced by theâ€¦ (More)

A random multiplicative process with additive noise is described by a Langevin equation. We show that the fluctuation-dissipation relation is satisfied in the Langevin model, if the noise strength isâ€¦ (More)

- Hidetsugu Sakaguchi, Boris A. Malomed
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We introduce a dynamical model of a Bose-Einstein condensate based on the one-dimensional (1D) Gross-Pitaevskii equation (GPE) with a nonlinear optical lattice (NOL), which is represented by theâ€¦ (More)

- Hidetsugu Sakaguchi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

Unknown parameters in nonlinear equations are estimated from chaotic time sequences using chaos synchronization. The method is based on a random optimization method. The parameters are randomlyâ€¦ (More)

- Hidetsugu Sakaguchi
- Physical review. E, Statistical physics, plasmasâ€¦
- 2000

We study a population of identical RÃ¶ssler oscillators with global coupling. When the coupling constant is increased, an order-disorder-type phase transition occurs. Partial phase synchronizationâ€¦ (More)

- Hidetsugu Sakaguchi, Ben Li, Boris A. Malomed
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

It is commonly known that two-dimensional mean-field models of optical and matter waves with cubic self-attraction cannot produce stable solitons in free space because of the occurrence of collapseâ€¦ (More)

â€” We show that stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation with complex coefficients. We point out that these localizedâ€¦ (More)

- Hidetsugu Sakaguchi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We study nonlocally coupled Hodgkin-Huxley equations with excitatory and inhibitory synaptic coupling. We investigate the linear stability of the synchronized solution, and find numerically variousâ€¦ (More)

We predict new generic types of vorticity-carrying soliton complexes in a class of physical systems including an attractive Bose-Einstein condensate in a square optical lattice (OL) and photonicâ€¦ (More)

Soliton motion in some external potentials is studied using the nonlinear SchrÃ¶dinger equation. Solitons are scattered by a potential wall. Solitons propagate almost freely or are trapped in aâ€¦ (More)