Unbounded Orbits in the Plaid Model
نویسنده
چکیده
This is a sequel to [S0]. In this paper I prove that the plaid model has unbounded orbits at all irrational parameters. This result is closely related to my result [S1] that outer billiards has unbounded orbits with respect to any irrational kite.
منابع مشابه
Fuzzy Sliding Mode for Spacecraft Formation Control in Eccentric Orbits
The problem of relative motion control for spacecraft formation flying in eccentric orbits is considered in this paper. Due to the presence of nonlinear dynamics and external disturbances, a robust fuzzy sliding mode controller is developed. The slopes of sliding surfaces of the conventional sliding mode controller are tuned according to error states using a fuzzy logic and reach the pre-define...
متن کاملUltimate Tendon Stress in CFRP Strengthened Unbounded HSC Post-Tensioned Continuous I-Beams
The use of unbounded tendons is common in prestressed concrete structures and evaluation of the stress increase in unbonded tendons at ultimate flexural strength of such structure has posed a great challenge over the years. Based on the bending experiment for two-span continuous post-tension beams with unbounded tendons and externally applied CFRP sheets, the monitoring of the stress increment ...
متن کاملExponential law as a more compatible model to describe orbits of planetary systems
According to the Titus-Bode law, orbits of planets in the solar system obey a geometric progression. Many investigations have been launched to improve this law. In this paper, we apply square and exponential models to planets of solar system, moons of planets, and some extra solar systems, and compare them with each other.
متن کاملContrast Gain Control in Plaid Pattern Detection
A plaid is a combination of two gratings whose orientations are orthogonal to each other with the same or similar contrasts. We used plaid patterns as stimuli to investigate the mechanisms underlying the detection of a plaid to understand how the visual system combines information from orientation-selective channels. We used a masking paradigm in which an observer was required to detect a targe...
متن کاملA model of plaid motion perception based on recursive Bayesian integration of the 1-D and 2-D motions of plaid features
We describe a theoretical and computational model of the perception of plaid pattern motion which fully accounts for the majority of cases in which misperception of the direction of motion of Type II plaids has been observed [Yo, C., & Wilson, H. (1992). Perceived direction of moving two-dimensional patterns depends on duration, contrast, and eccentricity. Vision Research 32, 135-147]. The mode...
متن کامل